{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multisectoral energy system with oemof\n",
    "\n",
    "### General description:\n",
    "\n",
    "The jupyter notebook gives a simple example of how to couple the sectors power, heat and mobility.\n",
    "\n",
    "### Installation requirements:\n",
    "\n",
    "This example requires the latest oemof version and jupyter. Install by:\n",
    "\n",
    "    pip install oemof jupyter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a simple energy system"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![simple_system.png](attachment:simple_system.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initialize energy system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from oemof.solph import EnergySystem\n",
    "import pandas as pd\n",
    "\n",
    "# initialize energy system\n",
    "energysystem = EnergySystem(timeindex=pd.date_range('1/1/2016', \n",
    "                                                    periods=168, \n",
    "                                                    freq='H'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import input data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import example data with scaled demands and feedin timeseries of renewables \n",
    "# as dataframe\n",
    "data = pd.read_csv(\"data/example_data.csv\", sep=\",\", index_col='timeindex', parse_dates=['timeindex'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Add entities to energy system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from oemof.solph import Bus, Flow, Sink, Source, Transformer\n",
    "\n",
    "### BUS\n",
    "# create electricity bus\n",
    "b_el = Bus(label=\"b_el\")\n",
    "energysystem.add(b_el)\n",
    "\n",
    "# add excess sink to help avoid infeasible problems\n",
    "energysystem.add(Sink(label=\"excess_el\",\n",
    "                      inputs={b_el: Flow()}))\n",
    "energysystem.add(Source(label=\"shortage_el\",\n",
    "                        outputs={b_el: Flow(variable_costs=1000)}))\n",
    "\n",
    "### DEMAND\n",
    "# add electricity demand\n",
    "energysystem.add(Sink(label=\"demand_el\",\n",
    "                      inputs={b_el: Flow(nominal_value=85,\n",
    "                                         actual_value=data['demand_el'],\n",
    "                                         fixed=True)}))\n",
    "\n",
    "### SUPPLY\n",
    "# add wind and pv feedin\n",
    "energysystem.add(Source(label=\"wind\",\n",
    "                        outputs={b_el: Flow(actual_value=data['wind'],\n",
    "                                            nominal_value=60,\n",
    "                                            fixed=True)}))\n",
    "energysystem.add(Source(label=\"pv\",\n",
    "       outputs={b_el: Flow(actual_value=data['pv'],\n",
    "                           nominal_value=200,\n",
    "                           fixed=True)}))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimize energy system and plot results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a34d29e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from oemof.solph import Model\n",
    "from oemof.outputlib import processing, views\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "def optimize(energysystem):\n",
    "    \n",
    "    ### optimize\n",
    "    # create operational model\n",
    "    om = Model(energysystem=energysystem)\n",
    "\n",
    "    # solve using the cbc solver\n",
    "    om.solve(solver='cbc',\n",
    "             solve_kwargs={'tee': False})\n",
    "\n",
    "    # save LP-file\n",
    "    om.write('sector_coupling.lp', io_options={'symbolic_solver_labels': True})\n",
    "\n",
    "    # generic result object\n",
    "    #results = processing.results(om=om)\n",
    "\n",
    "    return om\n",
    "\n",
    "\n",
    "def plot(om, bus_label):\n",
    "    \"\"\"\n",
    "    Plots...\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    om : oemof.solph.models.OperationalModel\n",
    "    bus_label : String\n",
    "        Label of bus to be plotted.\n",
    "    \"\"\"\n",
    "    \n",
    "    #ToDo: remove this once #387 is solved\n",
    "    def get_flows_to_and_from_bus(node_results_flows):\n",
    "        \"Function to devide flows into ingoing and outgoing flows.\"\n",
    "        flows = list(node_results_flows.columns)\n",
    "        to_flows = []\n",
    "        from_flows = []\n",
    "        for flow in flows:\n",
    "            if flow[0][0] == bus_label:\n",
    "                from_flows.append(flow)\n",
    "            elif flow[0][1] == bus_label:\n",
    "                to_flows.append(flow)\n",
    "            else:\n",
    "                print(\"{} is neither from nor to bus.\".format(flow))\n",
    "        return (to_flows, from_flows)\n",
    "\n",
    "    # node_results is a dictionary keyed by 'scalars' and 'sequences'\n",
    "    # holding respective data in a pandas Series and DataFrame.\n",
    "    node_results = views.node(om.results(), bus_label)\n",
    "    node_results_flows = node_results['sequences']\n",
    "    to_flows, from_flows = get_flows_to_and_from_bus(node_results_flows)\n",
    "\n",
    "    # set up plot\n",
    "    f, (ax1, ax2) = plt.subplots(2, sharex=True, sharey=True)\n",
    "    node_results_flows[to_flows].plot(kind='bar', stacked=True, ax=ax1)\n",
    "    node_results_flows[from_flows].plot(kind='bar', stacked=True, ax=ax2)\n",
    "\n",
    "    ax1.set_title('Flows to and from {}'.format(bus_label))\n",
    "    ax1.legend(loc='upper right', bbox_to_anchor=(1.7, 1.0))\n",
    "    ax2.legend(loc='upper right', bbox_to_anchor=(1.7, 1.0))\n",
    "    ax1.set_ylabel('Power')\n",
    "    ax2.set_xlabel('Time')\n",
    "    ax2.set_ylabel('Power')\n",
    "    \n",
    "    # set x-tick-labels\n",
    "    dates = node_results_flows.index\n",
    "    tick_distance = int(len(dates) / 7) - 1\n",
    "    ax2.set_xticks(range(0, len(dates), tick_distance), minor=False)\n",
    "    ax2.set_xticklabels([item.strftime('%d-%m-%Y')\n",
    "         for item in dates.tolist()[0::tick_distance]],\n",
    "         rotation=90, minor=False)\n",
    "\n",
    "    plt.show()\n",
    "    \n",
    "om = optimize(energysystem)\n",
    "plot(om, 'b_el')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding the gas sector\n",
    "\n",
    "![gas_pp.png](attachment:gas_pp.png)\n",
    "\n",
    "In order to add a gas power plant, a gas ressource bus is needed. The gas power plant connects the gas and electricity busses and thereby couples the gas and electricity sector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add gas bus\n",
    "b_gas = Bus(label=\"b_gas\",\n",
    "            balanced=False)\n",
    "energysystem.add(b_gas)\n",
    "\n",
    "# add gas power plant\n",
    "energysystem.add(Transformer(label=\"pp_gas\",\n",
    "                             inputs={b_gas: Flow(summed_max_flow=200)},\n",
    "                             outputs={b_el: Flow(nominal_value=40,\n",
    "                                                 variable_costs=40)},\n",
    "                             conversion_factors={b_el: 0.50}));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a2ef0be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "om = optimize(energysystem)\n",
    "plot(om, 'b_el')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding the heat sector\n",
    "\n",
    "![heat.png](attachment:heat.png)\n",
    "\n",
    "The heat sector is added and coupled to the electricity sector similarly to the gas sector. The same component, the LinearTransformer, is used to couple the two sectors. Only through its parametrisation it becomes a heater rod or a heat pump.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add heat bus\n",
    "b_heat = Bus(label=\"b_heat\",\n",
    "             balanced=True)\n",
    "energysystem.add(b_heat)\n",
    "\n",
    "# add heat demand\n",
    "energysystem.add(Sink(label=\"demand_th\",\n",
    "                      inputs={b_heat: Flow(nominal_value=60,\n",
    "                                           actual_value=data['demand_th'],\n",
    "                                           fixed=True)}))\n",
    "\n",
    "# add heater rod\n",
    "energysystem.add(Transformer(label=\"heater_rod\",\n",
    "                             inputs={b_el: Flow()},\n",
    "                             outputs={b_heat: Flow(variable_costs=10)},\n",
    "                             conversion_factors={b_heat: 0.98}));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a3044a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "om = optimize(energysystem)\n",
    "plot(om, 'b_el')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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69GmfBVdlZaXEx8c36n3qRo0aVTp9+vQL9u/fXzFlypTChQsXJr/55pvJF198calnndOnT0fFxcXVef+GvCATkQQA8wE8qKonROTsMlVVX78sVZ0OYDoAZGdnR/SN/3hwp0jFtk91Ee7bVKSmplZXV1fLqVOnJD4+Xvv3719RWFgYcFhvxIgRJx9++OGueXl5zfv161dx4sSJqN27d8d27NixCgDat29fVVJSEvXBBx8kX3vttccAICEhobqkpCQaAAYMGFB+9OjRmCVLlrQcOXLkyYqKCtm0aVPz7Ozs8vq8j6FDh5bOmjWrzUsvvVS0aNGixOTk5KqUlBTXxRdfXDp79uw2L774YtE777yTdOLEiWjPc4YNG5b2j3/8Y1ePHj3O+1TA3LlzU55//vnimTNnJl900UUn65pn9OjRJ5588smOd99999FWrVq5du3aFdusWTM9fvx4dKtWraoTExNd69evj/v666/PDknGxMRoRUWFNG/eXAH39W+tW7eu8kz36NEja9euXZsbuk9SUlJcx44di6msrJTMzMwzw4YNK3v11Vfb5+bm7vU8Nz8/v3l6evrpur7vkH7KUkRi4S7G3lLVd63ZB0Skg7W8A4Bav2STiBoXh2CJGt/ll19e8vHHHycAQFJSkqtr164VgS5k79ixY9W0adN233rrrT3T0tIys7OzMzZt2hTXtm3b6p/+9KeH+vbtm3XllVemDRw48GwxM378+MMPPPBAt4yMjMyqqirMmzdvx+TJkzunp6dnZmVlZS5fvtzv0KA/U6ZM+Xb9+vXxaWlpmY8//nin2bNn7wKAF1544dvPP/88oXfv3lnvvvtucocOHc4AQHV1Nfbs2dM8NTW1qrbXO3bsWHRaWlrma6+91m7q1Kn76prnxhtvPHHzzTcfHTx4cEZaWlrmDTfc0Ov48ePRY8eOLamqqpKePXtmPfroo52894+1385e1P/hhx8mjRw5sgQAioqKYlRVfG2vLvsEAC688MKTPXr0KAeAESNGlB48eDB25MiRZ3vIli5dmjRmzJiS2l7Xn5D1kIm7K2wmgC2q+mevRQsBTADwgvXvglBloNqx16Fp4u81MO4jamyTJk06lJub2+76668vBYD77rvv4PTp09tMnTr120mTJh0BcMSz7n/+85/tnsc5OTmlOTk5W2q+3tSpU7+dOnXqtzXn33777cdvv/32s5/mvOSSS06vXbv2m5rrrV69+rx5Nc2fP3+393S7du2qlyxZsqPmeu3bt6/+/PPPt9Wcv2bNmrgf/ehHxxISEs4bvSosLNzkeVjXHKdOnVrvefzEE08cfOKJJ87rsFmxYsV5eQDg9ddfL/Te5ttvv52Sm5u7HwCWLVvWcuLEibV2/njvrzFjxpSOGTOmFPC9TwDg/fffP1ucjRo16qTL5TrbM3v69Gn5+uuv42fOnLm3tuf6E8oesksB/AzA90Vkg/XzI7gLsVEisg3ASGuamjDTe2ZMz99YuB+Izjd8+PBTI0aMOOG5Mez48eOPd+/e/YzNsUJq8ODB5TNmzNgfeE17lJeXS05OzvEBAwZUAMC4ceNKfv/734dlNG779u3NnnvuucLY2LrfwzdkPWSquhKAry7Cq0K13aaMf91TpGLbJyd78MEHj3hPP/TQQ41+Y9j6+M1vftN+wYIF59yL67rrrjs6ZcqU4qacIy4uTu+///4jgddsfP3796/o379/RX2ey++ydJBwn3R4kiOnYNunenK5XC6JioqK6A9++TJlypTicBdfTs5hN5fLJQB8fvoyIr46iUMtbk1lP5j+PkzPbyK79jl/1yGXd+jQoVbWiY7IsVwulxw6dKgVgDxf6zSpHjL+1UsUWF3/n/D/VWDcR/aoqqqaWFxcPKO4uLgfIqSDgYzlApBXVVU10dcKTaogCxcefGsXaL809n4L9+s5Pb8dmsJ7MAn397kGDRp0EECO3TmIGgP/oiBjmD78Y3p+IiIKHRZkBqrriT3Q+iwUqDZObBds+0TUVEVUQdbQg2/N5/NgTiZj+w0fHnuIKJCIKsgiDQ/aVB9Nod00hfdARJGFBZnBTD3pmD7sZHp+X9u3O0ddmJSViCgYLMiIiIiIbMaCLAhO/2u8qV5fYvr7MD2/CZpq2/doau+HiHxjQdaEmHbwNi1vTabnb0r4uyAi00VkQdbYB2+eDIgoGDz2EJEvEVmQkbOYPuxkev7GEInvmYioMbEg84MnmfAyfX+bnp+cg22JKPIELMhEJEpEbglHmHDjQY+I7MBjDxHVFLAgU1UXgMfCkMU2Ne/DFKkHy0h930R2tX0ee4jII9ghyyUi8oiIdBGRFM9PSJMRUVB4EiciMl+wBdmPAfwSwAoA66yftaEKRVQfphcmpucnIqL6C6ogU9Uetfz0DHW4SMETMUUqtn0iIregCjIRiReR34vIdGu6j4iMCW00IiIiosgQ7JDlLABnAFxiTRcCeDYkicg4pvdymJ6fiIjMF2xB1ktVXwRQCQCqegqAhCwVERERUQQJtiA7IyItACgAiEgvABUhS1VHTunhcEoOIgoPp/yfd0oOIqq/mCDXexLARwC6iMhbAC4FcHuIMhERERFFlKAKMlX9WETWAbgY7qHKX6nq4ZAmIyIiIooQwX7K8k0ANwLYoaqLWIwR2Y/DVERETUew15DNBNABwMsislNE5ovIr0KYi4iIiChiBHtj2P8AeA7AEwD+DiAbwH0hzBUR2MNBkYptn4joXMEOWX4K4HO4v0LpGwCDVTUjlMGIqHYsZoiImp5ghyw3wn1j2H4ABgDoZ90GgyKY6YWB6fmJiKjpCHbI8teqejncF/YfgfvO/cdDGawpYyFA9WFCuwmU0YT3QERkh2CHLO8XkX8CWA/gOgBvABgd4DlviMhBEcnzmpciIp+IyDbr3+SGhCeKBCxiiIiavmCHLOMA/BlAhqqOVNWnVHVpgOfMBnB1jXmTAXyqqn0AfGpNRwxTTqxNvZfD9PwmqLmPTdnnpuQkoqYn2CHLXADlAO61essGBvGcFQCO1ph9HYA51uM5AK6vQ9bzmHLwNCUnUWNrqm2/qb4vIrJPsEOWkwC8BeAC6+dNEXmgHttrp6pF1uNiAO3q8RoUJk2tl8P0/BQ+/B0QUbgFO2Q5EcBQVf2Dqv4B7q9QuqshG1ZVhfVl5bURkbtFZK2IrD106FBDNkUNZPrJyfT8RETU9AVbkAmAaq/pamteXR0QkQ4AYP170NeKqjpdVbNVNTs1NbUem6JIZ3ohZnp+IiIKXrAF2SwAq0TkSRF5EsCXcH+dUl0tBDDBejwBwIJ6vAZPVERkCx57iChUYoJZSVX/LCLLAAy3Zv1cVdf7e46IvA1gBIC2IrIfwB8BvADgHRG5E8AeALfUMzcRERFRk+G3h0xE4kTkQRF5BcBgAK+p6tRAxRgAqOo4Ve2gqrGq2llVZ6rqEVW9SlX7WLfPqPkpTL9M+evUlJxEFBxT/k+bkpOIzhdoyHIO3F8kvgnuG8HmhjxRLTYVltix2QbjwZHIbKb+HzY1N1EkCzRkmamq/QFARGYCWB36SERERESRJVAPWaXngapWhTgLERERUUQK1EM2UEROWI8FQAtrWuC+lVhSSNMRERERRQC/BZmqRocrCBEREVGkCvY+ZEREREQUIizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGxmS0EmIleLyDcisl1EJtuRgYiIiMgpwl6QiUg0gFcBjAaQCWCciGSGOwcRERGRU9jRQzYEwHZV3amqZwDMA3CdDTmIiIiIHEFUNbwbFLkJwNWqOtGa/hmAoap6f4317gZwtzWZDuA0gL3hzFpHrQCU1DK/LYDDYc5SG1/5ahPuzHXJ5k+ocjdWPl8amjvU+XwJNrdd+Xypmdtp+Wry5KtPO+mmqqmNH4mIGluM3QF8UdXpAKZ7pkXkkKpm2xjJLxGZrqp31zJ/rRNy+8rnY92wZq5LtgCvE5LcjZXPz+s3KHeo8/nZblC57crnS83cTstXkyefU44lRBQadgxZFgLo4jXd2ZoXyPHQxGk0H9gdIAAn53NyNoD5Gor5Gsbp+YioEdhRkK0B0EdEeohIMwC3AlgYxPOcPKQAVXX0QdPJ+ZycDWC+hmK+hnF6PiJqHGEfslTVKhG5H8C/AUQDeENVNwfx1OmBV3EkE3ObmBlg7nBj7vAyNTcRBSHsF/UTERER0bl4p34iIiIim7EgIyIiIrIZCzIiIiIim7EgIyIiIrIZCzIiIiIim7EgIyIiIrIZCzIiIiIim7EgIyIiIrIZCzIiIiIim7EgIyIiIrIZCzIiIiIim7EgIyIiIrIZCzIiIiIim7EgIyIiIrJZjN0BgtG2bVvt3r273TGIiIyybt26w6qaancOIgrMiIKse/fuWLt2rd0xiIiMIiJ77M5ARMHhkCURERGRzViQEREREdmMBRkRERGRzYy4hoyIgtd98mLsfuEau2MQhcy6desuiImJmQGgH9ixQGZwAcirqqqaOGjQoIO1rcCCjIiIjBITEzOjffv2fVNTU49FRUWp3XmIAnG5XHLo0KHM4uLiGQByaluHf1kQEZFp+qWmpp5gMUamiIqK0tTU1BK4e3VrXyeMeShI3ScvtjsCNQEmtiMTM5MtoliMkWmsNuuz7mJBRkRERGSzJnkNGS9qJiI78Nhjj+6TFw9qzNfb/cI16xrz9YiCwR4yB+PwDUUqtn1yurKyMhk8eHB6VVUVAGDPnj2xV155ZW8AmDp1apvx48d3DeZ1vvnmm2Z9+vTJaoxMixYtSvzkk09a1vV5Q4YMSV+xYkV8Y2RoiED74osvvmjxz3/+s5Vn+qGHHur4hz/8oV3N9crLyyU7Ozu9srIy4DbfeOON5J49e2YNHTo0bdGiRYme32F9rV69usXYsWO71+e5ISvIRKSLiPxHRPJFZLOI/MqanyIin4jINuvf5FBlIHuYfjI1PT8Rhd7LL7/cNicn51hMjHug6fnnn2935513HrYz09KlSxM/++yzBDszhNLatWvjFy9e3CrQenFxcXrFFVecmDFjRkqgdWfNmtX29ddf37Nq1aqtjZFxyJAhp4uKippt27atWV2fG8oesioAD6tqJoCLAfxSRDIBTAbwqar2AfCpNU1EIcICk6jxvfPOO21uueWW457pxYsXJ48dO7bEM11YWBg7ZMiQ9G7duvV7+OGHO/h7rerqatx6663devfunXXppZf2KSsrEwDYvHlz88suu6xPVlZW30GDBqWvX78+DgD+8Y9/tBowYEBG3759My+55JK0ffv2xXzzzTfN5s6dm/q3v/2tXUZGRuZHH33kszArKyuTMWPG9OzZs2fWqFGjepWXl4tn2bvvvpt04YUXZmRmZvYdPXp0z5KSkigA6NSpU/9f/vKXnTIyMjL79evXd+XKlfHDhw/v06VLl34vvvhiKgCUlJREDRs2LC0zM7NvWlpa5ptvvtkacPd89ezZM6u29/jZZ5/Fp6enZ6anp2f++c9/vsBX5vLycvnTn/7U8YMPPkjOyMjI/Pvf/54MAFu2bGkxZMiQ9M6dO/d/9tlnzz7/pptuOj5v3jy/BdkjjzzSYd26dQn33HNP93vuuaez97IDBw5Ejxw5sldaWlrmwIEDM1atWtUCANLS0jIPHz4c7XK50Lp16wtfeeWVNgBwww03dH/vvfeSAGD06NHH58yZU+fOppAVZKpapKpfWY9LAWwB0AnAdQDmWKvNAXB9qDIQERE1tvLyctm3b1/z9PT0MwBQUFDQrFWrVlUtWrQ4+8nPjRs3tly4cOH2zZs3b164cGGKvyHBvXv3xk2aNOng9u3bN7dq1ap67ty5yQAwceLEbq+99trezZs3b3nppZf233fffV0BYNSoUWUbNmy1N1jSAAAeCklEQVQo2LJlS/5NN9109Omnn26fnp5+Zvz48YfuvffeAwUFBflXX311ma/t5ebmXtCiRQvXzp07Nz/77LPf5ufntwSAoqKimOeff77DihUrtubn52/53ve+d+qZZ545OyTYtWvXMwUFBflDhw4tu+OOO7p/8MEHO1atWlUwZcqUjgAQHx/vWrx48fb8/Pwty5cv3/q73/2us8vl8vse77zzzu5/+ctf9n7zzTf5/vZ5XFyc/va3v/322muvPVZQUJB/1113HQOA7du3xy1fvnzrmjVrtuTm5nasqKgQABg8ePDpjRs3+h2+zc3NLerXr9+puXPn7pw2bdp+72WPPfZYx4EDB57aunVr/jPPPFM4YcKEHgCQnZ1dtmTJkoR169bFde7cuWLlypUJAPDVV18lXHXVVWUAMHTo0JNffPFFor9t1yYsF/WLSHcAFwFYBaCdqhZZi4oBnDf+S02D6Rc4m56fiEKjuLg4JjExscozvW/fvtiUlJQq73WGDx9+on379tUAcM011xxbtmxZwuWXX36qttfr1KlTxSWXXHIaAC666KJTu3fvbl5SUhK1fv36hJtvvrmXZ70zZ84IAOzatavZ9ddf3/nQoUOxZ86cierSpUtFXfKvXLkyYdKkSQcBYOjQoafT0tJOAcCyZcta7tixI27IkCEZAFBZWSmDBg06W9h5egT79+9/6uTJk1HJycmu5ORkV7NmzVyHDx+OTkxMdD344IOdv/zyy4SoqCgcPHiw2f79+2N8vcfDhw9Hl5aWRo8ePboMAO64444jS5cuDTgk6e0HP/jB8RYtWmiLFi2qUlJSKvfv3x/Tq1evypiYGMTGxuqxY8eikpOTXXV5TQBYvXp14vz587cDQE5OTundd98dc/To0ajLLrusbPny5Qm7d+9uNnHixIOzZs1K3bVrV2xSUlJ1UlKSCwA6dOhQdeDAgdi6bjPkF/WLSAKA+QAeVNUT3stUVQHUei8ZEblbRNaKyNpDhw7Va9scqiFqfPx/FRj3UdPWsmVL15kzZ86eP+Pj410VFRXnnE9FBP6mvTVr1uzseTA6OlqrqqqkuroaiYmJVQUFBfmen507d24GgPvvv7/rL37xi4Nbt27Nf+WVV/bU3HZ9qSqGDx9+wrO9HTt2bH7nnXf2eJbHxcUpAERFRZ2TOSoqCpWVlTJt2rSUI0eOxGzatGlLQUFBfps2bSpPnz4d5es9Nkbm5s2be78uvF+3srJS4uPjG/V+daNGjSr98ssvEz///POEH/zgB6Vt2rSpevPNN5MvvvjiUs86p0+fjoqLi6tzERjSHjIRiYW7GHtLVd+1Zh8QkQ6qWiQiHQDU+p1OqjodwHQAyM7OjugbALKnhiIV2z4FI9y3qUhNTa2urq6WU6dOSXx8vPbv37+isLDwnIu4V65cmXTgwIHoli1buv71r3+1njFjxu66bCMlJcXVuXPnM2+88UbyHXfccczlcmHVqlUthg0bdrq0tDS6a9eulQAwe/bsNp7nJCYmVp84cSLaMz137tzWq1atavnqq68Wer/28OHDy956662UnJyc0jVr1sRt3bo1HgBGjBhx8uGHH+6al5fXvF+/fhUnTpyI2r17d+yAAQOC6oErKSmJbtu2bWXz5s31gw8+SPz222/9Xtjetm3b6sTExOp///vfCT/84Q/LZs+e7fear6SkpOqysrKgis/i4uLo1q1bV3kKth49emTt2rVrczDPBYChQ4eWzpo1q81LL71UtGjRosTk5OSqlJQUV0pKiuvYsWMxlZWVkpmZeWbYsGFlr776avvc3Ny9nufm5+c3T09PPx3stjxC+SlLATATwBZV/bPXooUAJliPJwBYEKoMRPQd9toQNZ7LL7+85OOPP04AgKSkJFfXrl0r8vLymnuWDxgw4GROTk6vrKysrGuvvfaYr+FKf95+++2ds2bNapuenp7Zp0+frPnz57cGgMcff/zbcePG9crKyurbpk2bs0OlY8eOPb548eLWnov6t2/f3jwpKam65us+8sgjB0+ePBnds2fPrMcff7xTZmbmSQDo2LFj1bRp03bfeuutPdPS0jKzs7MzNm3aFBds3okTJx79+uuvW6alpWXOmTOnTY8ePcoDPWfmzJm7J02a1DUjIyNTVf32mo0ePbp069atLbwv6vflww8/TBo5cmQJ4L42LtBr1zRlypRv169fH5+Wlpb5+OOPd5o9e/Yuz7ILL7zwpOe9jRgxovTgwYOxI0eOPNtDtnTp0qQxY8aU1Pa6/oSyh+xSAD8DsElENljzfgfgBQDviMidAPYAuCWEGagW7HVomkL9e20K7aYpvAdyhkmTJh3Kzc1td/3115cCwH333Xdw+vTpbaZOnfrtpEmTjkyaNOlIMK+Tnp5+Ztu2bWd7bp5++ukDnscZGRlnPvvss201n3Pbbbcdv+22247XnD9gwICKrVu3nr04/vXXX099/fXX99VcLyEhQRctWrSztjw5OTmlOTk5W2rOLyws3OR5bL23I7Ut27BhQ0Ftr+vrPV522WWnalzQf87F9d7atWtXnZeX553tmK9tvP322ym5ubn7Afe1cRMnTqx1NG716tXfeB6PGTOmdMyYMaWebS1ZsmRHbc95//33zxZno0aNOulyuc720J4+fVq+/vrr+JkzZ+6t7bn+hKwgU9WVAHxVpFeFarvkPKafBE3PT0SNb/jw4afWrl17oqqqCjExMRg/fvzxw4cPO+rbbxYsWLAr8FpNT3l5ueTk5Bz3DLWOGzeuzr1V9bV9+/Zmzz33XGFsbJ2v6W+aX53UVLEwoEjFtk9O9OCDD57TC/bQQw/5vDFscXFx9IgRI9Jrzl+2bNk3nk9jktv8+fOTHn/88XPuC9alS5eKTz75pNYeq5ri4uL0/vvvD6qHsrH179+/on///nX61KtHRHx1kinXzoQ6Z83XN2W/1GRqbg/T84dCU237/F2HjMvlcjXKp/TCpX379tXen5j0/LAYO9/YsWNP1NxPwRZjTma1WZ+fvoyIgoyIiJqUvEOHDrUyrSijyOVyueTQoUOtAOT5WqdJDVlyWMPZTP/9mJ7fo67vw9/6TWWfNBT3Q3hVVVVNLC4unlFcXNwP7FggM7gA5FVVVU30tUKTKsjChQff2oV7vzT29kzPT00f24zboEGDDgLIsTsHUWPiXxYRoKlcx2L6+zAtv2l5a9MU3gMRRQYWZHXglIN7Y+dwyvui8DLx9x6pbd+UnERUfxFVkEXqwZyI7MVjDxEFElEFWaRpKgdt09+H0/M3lduheGsK74GIIgsLMoOZetIxvbfA9Py+OCVHMEzKSkQUDBZkTRBPVhSp2PaJyFQsyILg9IO8J5/Tc9aV6e/H9PwmaKpt36Opvi8iOl9EFmRNdcjJNKbvN9PzU/jx2ENEvkRkQUbOZvpJxvT8REQUfizI/OCJNTxMH3YyPX9jiOT3Hgrcn0SRJ2BBJiJRInJLOMKEGw96RGQHHnuIqKaABZmqugA8FoYsjhGpB8tIfd9ETmn7TslBROEX7JDlEhF5RES6iEiK5yekycKIQ05kMrZbc/HYQ0QeMUGu92Pr3196zVMAPRs3DhEREVHkCaqHTFV71PLDYowcxfReBtPzExFR/QVVkIlIvIj8XkSmW9N9RGRMaKNFDp6IKVKx7RMRuQV7DdksAGcAXGJNFwJ4NiSJiIiIiCJMsAVZL1V9EUAlAKjqKQASslRkFNN7OUzPT0RE5gu2IDsjIi3gvpAfItILQEXIUhmKJ3YisgOPPUTmC7YgexLARwC6iMhbAD6Fg+5NxoMREdmBxx4iaixB3fZCVT8WkXUALoZ7qPJXqno4pMmIiIiIIkSwn7J8E8CNAHao6iIWY0T2Y+8MEVHTEeyQ5UwAHQC8LCI7RWS+iPwqhLmIiIiIIkawN4b9D4DnADwB4O8AsgHcF8JcEYE9HBSp2PaJiM4V1DVkIvIpgJYA/gvgMwCDVfVgKIMRERERRYpghyw3wn1j2H4ABgDoZ90GgyKY6b0cpuY3NTcREfkW7Kcsfw0AIpII4Ha479zfHkDzkCUjIiIiihDBfsryfhH5J4D1AK4D8AaA0aEM1pSxh4Pqw4R2EyijCe+BiMgOwQ5ZxgH4M4AMVR2pqk+p6lJ/TxCRN0TkoIjkec1LEZFPRGSb9W9yA7ITRQQWMURETV+wn7LMBVAO4F6rt2xgEE+bDeDqGvMmA/hUVfvAfbf/yXXIeh7TTlSm5G3qvRym5zdBzX1syj4PNqcp74eIzBHskOUkAG8BuMD6eVNEHvD3HFVdAeBojdnXAZhjPZ4D4Po6pTWUqQdvU0+qvpie30Sm7nNTcxORuYIdspwIYKiq/kFV/wD3VyjdVY/ttVPVIutxMYB2vlYUkbtFZK2IrD106FA9NkWNxbSTk+mFpGl5iYio4YItyARAtdd0tTWv3lRVAaif5dNVNVtVs1NTUxuyKYpQphc2pucnIqLgBXXbC7hvc7FKRN6zpq+H++uU6uqAiHRQ1SIR6QCAN5clIiKiiBfsRf1/BvBzuK8JOwrg56r6l3psbyGACdbjCQAW1OM12HNARLbgsYeIQsVvQSYicSLyoIi8AmAwgNdUdaqqrg/0wiLyNtxftZQuIvtF5E4ALwAYJSLbAIy0poNmysHQlJxEFBxT/k+bkpOIzhdoyHIOgEq4v79yNIC+AB4M5oVVdZyPRVcFnc6yqbCkrk8hImqw7pMXY/cL19gdg4giQKAhy0xVvU1VpwG4CcDlYcjUZPCvVSKyA489ROYJVJBVeh6oalWIsxARERFFpEBDlgNF5IT1WAC0sKYF7jtXJIU0HREREVEE8FuQqWp0uIIQERERRapgbwxLRERERCHCgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGzGgoyIiIjIZizIiIiIiGxmS0EmIleLyDcisl1EJtuRgYiIiMgpwl6QiUg0gFcBjAaQCWCciGSGOwcRERGRU9jRQzYEwHZV3amqZwDMA3CdDTmIiIiIHEFUNbwbFLkJwNWqOtGa/hmAoap6f4317gZwtzWZDuA0gL3hzFpHrQCU1DK/LYDDYc5SG1/5ahPuzHXJ5k+ocjdWPl8amjvU+XwJNrdd+Xypmdtp+Wry5KtPO+mmqqmNH4mIGluM3QF8UdXpAKZ7pkXkkKpm2xjJLxGZrqp31zJ/rRNy+8rnY92wZq5LtgCvE5LcjZXPz+s3KHeo8/nZblC57crnS83cTstXkyefU44lRBQadgxZFgLo4jXd2ZoXyPHQxGk0H9gdIAAn53NyNoD5Gor5Gsbp+YioEdhRkK0B0EdEeohIMwC3AlgYxPOcPKQAVXX0QdPJ+ZycDWC+hmK+hnF6PiJqHGEfslTVKhG5H8C/AUQDeENVNwfx1OmBV3EkE3ObmBlg7nBj7vAyNTcRBSHsF/UTERER0bl4p34iIiIim7EgIyIiIrIZCzIiIiIim7EgoyZDRNrYnaE+TM1NRESNx/EFmYgkicggEUm2O0tdMHdoicgLItLWepwtIjsBrBKRPSJyhc3xfDI1d02mtBNvJmYGzM1NRHXjuIJMRN70OmH9EEAegCkANojIzbaG84O5w+4aVfV8jcxLAH6sqr0BjALwP/bFCsjI3Ca2ExMzA+bmJqKGceJXJw30OmH9EcDlqrrbOkB9CuD/2hfNL+YOrxgRiVHVKgAtVHUNAKjqVhFpbnM2f0zNbWI7MTEzYG5uImoAx/WQAYgSkSTrsQvWF4pbBygnFpAezB1erwH4l4h8H8BHIvJXEblCRJ4CsMHmbP6YmtvEdmJiZsDc3ETUAI67MayI3ALgNwBeBZAOoDfcX610JYAjqvqwjfF8Yu7wE5ERAO4DkAb3iWofgPcBzFLVShuj+WVibhPbiYmZAXNzE1HDOK4gAwAR6Q3gLnx3wtoP4H1V/betwQJgbmrKTGwnJmYGzM1NRPXnyIKMqCFE5OeqOsvuHHVlam4iImo4J15D5pOI/MHuDPXB3GH3lN0B6snI3Ca2ExMzA+bmJqLAjOohE5G9qtrV7hx1xdyNT0Q2+loEIE1VHfmJRVNz++PkduKLiZkBc3MTUWCO+8SOiJzwtQhAi3BmqQvmDrt2AH4I4FiN+QLgi/DHCZqRuU1sJyZmBszNTUQN47iCDMBxAINV9UDNBSKyz4Y8wWLu8FoEIEFVz7tVhIgsC3+coJma28R2YmJmwNzcRNQATryGbC6Abj6W/SOcQeqIucNIVe9U1ZU+lv0k3HmCZWpumNlOTMwMmJubiBrAqGvIiLyJiAAYAqCTNasQwGp1eKM2NTcREYWOIwsyEWkF4Gqce8L6t6oety9VYMwdPiLyA7jver8N7rwA0Bnum2j+QlU/tiubP6bmBoxtJ8ZlBszNTUT157ghSxEZD+ArACMAxFs/VwJYZy1zJOYOu78CGKmqo1V1ovVzNdxf0v1Xm7P5Y2RuE9uJiZkBc3MTUcM4rodMRL4BMLTmX4Iikgxglaqm2ZPMP+YOLxHZBqCv9SXd3vObAchX1d72JPPP4NzGtRMTMwPm5iaihnHipywFQG1Vosta5lTMHV5vAFgjIvPg/i5IAOgC4FYAM21LFZipuU1sJyZmBszNTUQN4MSC7DkAX4nIx/juhNUV7iGdZ2xLFRhzh5Gq/klEFgDIATDMml0I4Keqmm9fMv9MzQ0z24mJmQFzcxNRAzhuyBI42zX/Q5x/QWvNm2k6CnNTU2ZiOzExM2BubiKqP0cWZESBiEgSgN/C/QnFf6nq217LXlPVX9gWzg9TcxMRUWg58VOWXURknoh8JiK/E5FYr2Xv25nNH+YOu1lwX08zH8A4EZkvIp7vgbzYvlgBGZnbxHZiYmbA3NxE1DCOK8jgvuh5GYAHAHQAsFxE2ljLfN292gmYO7x6qepkVX1fVXPgvk3AUq/sTmVqbhPbiYmZAXNzE1EDOPGi/lRV/Zv1+AERuQ3AChHJQe2fPHIK5g6v5iISpaouAFDV50SkEMAKAAn2RvPL1NwmthMTMwPm5iaiBnBiQRYrInGqWg4AqvqmiBQD+DeAlvZG84u5w+sDAN8HsMQzQ1VnW9lfti1VYKbmNrGdmJgZMDc3ETWAE4csZwAY6j1DVZcAuBlAni2JgsPcYaSqj1k5a87/SFX72JEpGKbmhpntxMTMgLm5iagB+ClLajJEZJGqjrE7R12ZmpuIiBqPE3vIziMiX9mdoT6YO+w6BV7FkYzMbWI7MTEzYG5uIgqeEQUZzP26EOYOr/V2B6gnU3Ob2E5MzAyYm5uIgmRKQbbY7gD1xNxhpKp32J2hPkzNDTPbiYmZAXNzE1GQeA0ZNTki8qGqjrY7R12ZmpuIiBrOibe98ElENqlqf7tz1BVzNz4R+Z6vRQAuDGeWujA1tz9Obie+mJgZMDc3EQXmuIJMRG70tQhA+3BmqQvmDrs1AJaj9mtrWoc5S10YmdvEdmJiZsDc3ETUMI4ryAD8E8BbqP2O1HFhzlIXzB1eWwDco6rbai4QkX025AmWqblNbCcmZgbMzU1EDeDEgmwjgFxVPe8GiCIy0oY8wWLu8HoSvj+U8kAYc9TVkzAzt4ntxMTMgLm5iagBHHdRv4hcBmCPqu6tZVm2qq61IVZAzE1NmYntxMTMgLm5iahhHFeQEQVLRH4I4Hp8d2PVQgALVPUj+1IFZmpuIiIKHccVZCISA+BOADcA6GjNLgSwAMBMVa20K5s/zB1eIvIXAGkA5gLYb83uDGA8gG2q+iu7svljcG7j2omJmQFzcxNRwzixIHsbwHEAc3DuCWsCgBRV/bFd2fxh7vASka2qmlbLfAGw1alf1G1wbuPaiYmZAXNzE1HDOPGi/kG1nLD2A/hSRLbaEShIzB1e5SIyWFXX1Jg/GEC5HYGCZGpuE9uJiZkBc3MTUQM4sSA7KiI3A5ivqi4AEJEoADcDOGZrMv+YO7xuB/C6iCTiu16ELgBKrGVOdTvMzG1iOzExM2BubiJqACcOWXYHMAXA9/HdwScZwFIAk1V1lz3J/GNue4hIe3hdHK+qxXbmCZZpuU1sJyZmBszNTUQN47iCzJuItAEAVT1id5a6YG57iMiTqvqk3TnqyrTcJrYTEzMD5uYmorrzdYNKR1DVI6p6RESm252lLpjbNjl2B6gno3Kb2E5MzAyYm5uI6s7RBZmXbLsD1BNzh1dt3w9pAlNzm9hOTMwMmJubiIJkSkF20O4A9cTc4TXI7gD1ZGpuE9uJiZkBc3MTUZAcfQ0ZkS8iEg/gfri/gPllALcCuBFAAYCnVbXMxnh14uveZEREFDlM6SEDAJh6HYWTc4tItIjcIyLPiMilNZb93q5cQZgNoB2AHgAWwz2k8xLcw3+v2xfLPxEpFZET1k+piJQC6OWZb3c+X0RkgNfjWBH5vYgsFJHnreLYcUTkfhFpaz3uLSIrROSYiKwSkf525/NFRN4VkdtEJMHuLEQUPo7rIRORFF+LAHytqp3DmSdYBueeASAewGoAPwOwXFUfspZ9parfszOfLyKyQVUvtO5wXwSgg6qqNf21qg4I8BK2EJGpAFoDeFRVD1jzdqlqD3uT+efdFkTkfwC0ATAL7u/kbKOq4+3MVxsR2ayqWdbjxQBmqOp7IjICwHOqeqnfF7CJiBQC+C/ct71YAuBtAItV9YytwYgopJx4Y9hDAPbg3Aud1Zq+wJZEwTE19xBP8SIirwB4TUTeBTAOBlxsbhVh/1LrLwtr2ll/ZXhR1UkiMgjA2yLyPoBX4G4nTufdFq4CMFhVK0VkBYCvbcoUiPfx7QJVfQ8AVHWZdWNepzqoqjeJSBKA6wDcBWC6iCwC8LaqfmxvPCIKBScOWe4EMEJVe3j99LR6EA7YHc4PU3M38zxQ1SpVvRvuE+xSAE4eMlnrGdJR1Ts8M0WkF4BS21IFQVXXARhpTS4HEGdjnGC1EpEbRGQsgOaeL7i2CmGnFpT/T0Rmi0hPAO+JyK9FpJuI/BzAXrvD+eH54+KEqv6vqv4IQAaAVQAm25qMiELGiT1kf4H7rtS1HTBfDHOWujA191oRuVpVP/LMUNWnrGETx16LpaoTRSRDRK6D1x3vASwEcJl9yQITkQy4ez46A9gK4F8i0ldVt9ibzK/l+O5+af8VkXaqesD6xoHDNubySVUfF5Hb4R7y6wmgOdy9Te8D+KmN0QI57wMp1o1h/2b9EFET5LhryIBzTljnnGgdfsJi7jASkccA/ATAPHz3nZCd4f605TxVfcGubP6IyG/gHg42KjcAiEhffNdOFGa0kwy4r3PzbtsLnJwZMPP/JBE1jOMKMoNPtMwdRiKyFUCWZ+jMa34zAJtVtY89yfwzOPdj+K6QLLRmO7qdeBW/b8OQzIC5/yeJqGGcWJCZesJi7jASkQIAP1TVPTXmdwPwsaqm25PMP4NzG9dOTMwMmJubiBrGideQuQB0hPsTi946WMucirnD60EAn4rINgD7rHldAfSG+4axTmVqbhPbiYmZAXNzE1EDOLEgM/WExdxhpKofiUgagCE49zqbNapabV8y/0zNDTPbiYmZAXNzE1EDOG7IEgBEJArmnbCYm5o0E9uJiZkBc3MTUf05siAjIiIiiiROvDEsERERUURhQUZERERkMyde1E9kGxFpA+BTa7I9gGq4v6cUAE6p6iW2BCMioiaN15AR+SAiTwIoU9Vcu7MQEVHTxiFLoiCJSJn17wgRWS4iC0Rkp4i8ICI/FZHVIrLJ+oJziEiqiMwXkTXWz6X2vgMiInIqFmRE9TMQwL0A+gL4GYA0VR0CYAaAB6x1/grg/6jqYABjrWVERETn4TVkRPWzRlWLAEBEdgD42Jq/CcCV1uORADJFxPOcJBFJUNWysCYlIiLHY0FGVD8VXo9dXtMufPf/KgrAxapaHs5gRERkHg5ZEoXOx/hu+BIicqGNWYiIyMFYkBGFziQA2SKyUUTy4b7mjIiI6Dy87QURERGRzdhDRkRERGQzFmRERERENmNBRkRERGQzFmRERERENmNBRkRERGQzFmRERERENmNBRkRERGSz/w/CCjThctOGHAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a0ae72b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(om, 'b_heat')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adding a heat pump\n",
    "\n",
    "There are different ways to model a heat pump. Here the approach of precalculating a COP and using this as a conversion factor for the LinearTransformer is used. Another approach is to use the LinearN1Transformer that has two inputs - electricity and heat from a heat source. See the solph example \"simple_dispatch\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# COP can be calculated beforehand, assuming the heat reservoir temperature \n",
    "# is infinite random timeseries for COP\n",
    "import numpy as np\n",
    "COP = np.random.uniform(low=3.0, high=5.0, size=(168,))\n",
    "\n",
    "# add heater rod\n",
    "#Transformer(label=\"heater_rod\",\n",
    "#            inputs={b_el: Flow()},\n",
    "#            outputs={b_heat: Flow(variable_costs=10)},\n",
    "#            conversion_factors={b_heat: 0.98});\n",
    "\n",
    "# add heat pump\n",
    "energysystem.add(Transformer(label=\"heat_pump\",\n",
    "                             inputs={b_el: Flow()},\n",
    "                             outputs={b_heat: Flow(nominal_value=20,\n",
    "                                                   variable_costs=10)},\n",
    "                             conversion_factors={b_heat: COP}));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a331fb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "om = optimize(energysystem)\n",
    "plot(om, 'b_heat')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adding a combined heat and power plant\n",
    "\n",
    "![combined_heat_and_power.png](attachment:combined_heat_and_power.png)\n",
    "\n",
    "The combined heat and power plant couples the gas, electricity and heat sector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add CHP with fixed ratio of heat and power (back-pressure turbine)\n",
    "energysystem.add(Transformer(label='pp_chp',\n",
    "                             inputs={b_gas: Flow()},\n",
    "                             outputs={b_el: Flow(nominal_value=30,\n",
    "                                                 variable_costs=42),\n",
    "                                      b_heat: Flow(nominal_value=40)},\n",
    "                             conversion_factors={b_el: 0.3,\n",
    "                                                 b_heat: 0.4}));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from oemof.solph.components import ExtractionTurbineCHP\n",
    "\n",
    "# add CHP with variable ratio of heat and power (extraction turbine)\n",
    "energysystem.add(ExtractionTurbineCHP(label='pp_chp_extraction',\n",
    "                                      inputs={b_gas: Flow()},\n",
    "                                      outputs={b_el: Flow(nominal_value=30,\n",
    "                                                          variable_costs=42),\n",
    "                                               b_heat: Flow(nominal_value=40)},\n",
    "                                      conversion_factors={b_el: 0.3,\n",
    "                                                          b_heat: 0.4},\n",
    "                                      conversion_factor_full_condensation={b_el: 0.5}));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a0a11cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "om = optimize(energysystem)\n",
    "plot(om, 'b_el')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a3050a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "om = optimize(energysystem)\n",
    "plot(om, 'b_heat')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding the mobility sector\n",
    "\n",
    "![mobility.png](attachment:mobility.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from oemof.solph.components import GenericStorage as Storage\n",
    "\n",
    "charging_power = 20\n",
    "bev_battery_cap = 50\n",
    "\n",
    "# add mobility bus\n",
    "b_bev = Bus(label=\"b_bev\",\n",
    "            balanced=True)\n",
    "energysystem.add(b_bev)\n",
    "\n",
    "# add transformer to transport electricity from grid to mobility sector\n",
    "energysystem.add(Transformer(label=\"transport_el_bev\",\n",
    "                             inputs={b_el: Flow()},\n",
    "                             outputs={b_bev: Flow(variable_costs=10,\n",
    "                                                  nominal_value=charging_power,\n",
    "                                                  max=data['bev_charging_power'])},\n",
    "                             conversion_factors={b_bev: 1.0}))\n",
    "    \n",
    "# add BEV storage\n",
    "energysystem.add(Storage(label='bev_storage',\n",
    "                 inputs={b_bev: Flow()},\n",
    "                 outputs={b_bev: Flow()},\n",
    "                 nominal_capacity=bev_battery_cap,\n",
    "                 capacity_min=data['bev_cap_min'],\n",
    "                 capacity_max=data['bev_cap_max'],\n",
    "                 capacity_loss=0.00,\n",
    "                 initial_capacity=None,\n",
    "                 inflow_conversion_factor=1.0,\n",
    "                 outflow_conversion_factor=1.0,\n",
    "                 nominal_input_capacity_ratio=1.0,\n",
    "                 nominal_output_capacity_ratio=1.0))\n",
    "\n",
    "# add sink for leaving vehicles\n",
    "energysystem.add(Sink(label=\"leaving_bev\",\n",
    "                      inputs={b_bev: Flow(nominal_value=bev_battery_cap,\n",
    "                                          actual_value=data['bev_sink'],\n",
    "                                          fixed=True)}))\n",
    "\n",
    "# add source for returning vehicles\n",
    "energysystem.add(Source(label=\"returning_bev\",\n",
    "                        outputs={b_bev: Flow(nominal_value=bev_battery_cap,\n",
    "                                             actual_value=data['bev_source'],\n",
    "                                             fixed=True)}));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a35209e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "om = optimize(energysystem)\n",
    "plot(om, 'b_bev')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa3a303e320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(om, 'b_el')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
